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What is the difference between E and nu in engineering geology?
E is generally taken to be the elastic constant known as Young's modulus which describes the relationship between axial stress and axial strain where Hooke's law still applies (i.e. linear elasticity). Nu is Poisson's ratio which is the relationship between axial strain and radial or transverse strain. For more information, please see the related link.
What is the elongation of a brass bar having cross sectional area of 10 cm squared that is subjected to axial forces where E is 0.8e2 t per cm squared?
There are a number of assumptions required to answer this question!1) E = Young's modulus. This assumption is based on the reference to axial forces and a request to calculate elongation.2) t = tonnes (1,000 kg) = 9,810 NewtonsFirst of all, Young's modulus is normally expressed in Pascals (N/m2). So it is sensible to convert your value of Young's modulus into SI units.Modulus (N/cm2) = (80 * 1000 * 9.81) / 10Calculation of modulus with SI units:Area = 0.1 * 0.1 = 0.01 m2Modulus = (80 * 1000 * 9.81) / 0.01= 78,480,000 N/m2 = 78.48 MN/m2= 78.48 MPaNow Young's modulus (E) can be used to find the axial strain (ΣA) that occurs in a material at a given axial stress (σA).You have not told us what the axial stress is, however:E = σA / ΣAΣA = σA / EIn order to calculate the elongation (change in length) from the above we would require the original length of the bar (which again you haven't given us), however:ΣA = change in length / original lengthSo the change in length (m) = (σA / E) * original lengthBelow is an example using the above based on assumed values for axial stress and the original length of the bar:Bar undeformed length = 0.3 mMass applied = 10 tonnes (10,000 kg)Axial Stress (σA) = Force / AreaAxial Stress (σA) = (10,000 * 9.81) / 0.01Axial Stress (σA) = 9.81x106 PaChange in length = (9.81x106 / 7.848x107) * 0.3Change in length = 0.0375 m (3.75 cm or 37.5 mm)
Is tensile modulus the same as young's modulus?
Yes, indeed. Sometimes tensile modulus is different from flexural modulus, especially for composites. But tensile modulus and elastic modulus and Young's modulus are equivalent terms.
What is the relation between elastic modulus and tensile modulus?
The elastic modulus, also called Young's modulus, is identical to the tensile modulus. It relates stress to strain when loaded in tension.
What is the modulus of elasticity in stretched wire?
Young's modulus
What is the difference between the modulus of rigidity and modulus of elasticity?
We knew from Hook's law- "stress is proportional to strain." So, stress = k * strain [here, k is a constant] or, stress/strain= k Now, if the stress and strain occurs due to axial force then k is known as modulus of elasticity and it is denoted by E. if the stress and strain occurs due to shear force then k is known as modulus of rigidity and it is denoted by G.
Solids liquids and gases. which ones are hard to deform?
When we talk about deformatation, we are referring to two properties, namely Elasticity and Plasticity. These properties are measured using constants known as " Moduli of Elasticity". There are 4 such moduli: Young's Modulus Axial Modulus Rigidity Modulus Bulk Modulus The larger the value of the Bulk Modulus, the harder it is to compress the material.
Is Young's Modulus the same as Modulus of Elasticity?
Yes, Young's Modulus is the same as Modulus of Elasticity.
Is the modulus of elasticity the same as Young's modulus?
Yes, the modulus of elasticity is the same as Young's modulus.
What is the difference between E and nu in engineering geology?
E is generally taken to be the elastic constant known as Young's modulus which describes the relationship between axial stress and axial strain where Hooke's law still applies (i.e. linear elasticity). Nu is Poisson's ratio which is the relationship between axial strain and radial or transverse strain. For more information, please see the related link.
What is the elongation of a brass bar having cross sectional area of 10 cm squared that is subjected to axial forces where E is 0.8e2 t per cm squared?
There are a number of assumptions required to answer this question!1) E = Young's modulus. This assumption is based on the reference to axial forces and a request to calculate elongation.2) t = tonnes (1,000 kg) = 9,810 NewtonsFirst of all, Young's modulus is normally expressed in Pascals (N/m2). So it is sensible to convert your value of Young's modulus into SI units.Modulus (N/cm2) = (80 * 1000 * 9.81) / 10Calculation of modulus with SI units:Area = 0.1 * 0.1 = 0.01 m2Modulus = (80 * 1000 * 9.81) / 0.01= 78,480,000 N/m2 = 78.48 MN/m2= 78.48 MPaNow Young's modulus (E) can be used to find the axial strain (ΣA) that occurs in a material at a given axial stress (σA).You have not told us what the axial stress is, however:E = σA / ΣAΣA = σA / EIn order to calculate the elongation (change in length) from the above we would require the original length of the bar (which again you haven't given us), however:ΣA = change in length / original lengthSo the change in length (m) = (σA / E) * original lengthBelow is an example using the above based on assumed values for axial stress and the original length of the bar:Bar undeformed length = 0.3 mMass applied = 10 tonnes (10,000 kg)Axial Stress (σA) = Force / AreaAxial Stress (σA) = (10,000 * 9.81) / 0.01Axial Stress (σA) = 9.81x106 PaChange in length = (9.81x106 / 7.848x107) * 0.3Change in length = 0.0375 m (3.75 cm or 37.5 mm)
What are the different types of modulus elasticity?
there are different types of modulus it depends on what types of stress is acting on the material if its direct stress then then there is modulus of elasticity,if tis shear stress then its modulus of rigidity and when its volumetric stress it is bulk modulus and so on
Is tensile modulus the same as young's modulus?
Yes, indeed. Sometimes tensile modulus is different from flexural modulus, especially for composites. But tensile modulus and elastic modulus and Young's modulus are equivalent terms.
What is the relation between elastic modulus and tensile modulus?
The elastic modulus, also called Young's modulus, is identical to the tensile modulus. It relates stress to strain when loaded in tension.
Is young's modulus storage modulus?
The Young modulus and storage modulus measure two different things and use different formulas. A storage modulus measures the stored energy in a vibrating elastic material. The Young modulus measures the stress to in still elastic, and it is an elastic modulus.
What is the relationship between the shear modulus and Young's modulus in the shear modulus formula?
In the shear modulus formula, the shear modulus (G) is related to Young's modulus (E) through the equation G E / (2 (1 )), where is Poisson's ratio. This formula shows that the shear modulus is directly proportional to Young's modulus and inversely proportional to Poisson's ratio.
What is the relationship between shear modulus and elastic modulus?
The shear modulus and elastic modulus are related properties that describe a material's response to deformation. The shear modulus specifically measures a material's resistance to shearing forces, while the elastic modulus, also known as Young's modulus, measures a material's resistance to stretching or compression. In general, the shear modulus is related to the elastic modulus through the material's Poisson's ratio, which describes how a material deforms in response to stress.
